Calc 2 hydrostatic force problem

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To solve the hydrostatic force problem on the side wall of a pool filled with water, start by determining the water pressure as a function of depth, p(d). The hydrostatic force can be calculated by integrating the pressure multiplied by the differential area (dA) across the height and width of the wall. This involves setting up an equation that accounts for the varying pressure at different depths. The integration will yield the total hydrostatic force acting on the wall. Understanding these principles is essential for accurately calculating the force.
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Find the hydrostatic force on one side wall of the pool when it is full of water.

how do i go about solving this?

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You need to integrate the pressure * area for all the little dA area bits along the side wall. So write an equation for the water pressure as a function of depth, and integrate that p(d) along the height and width of the side.
 

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